Asymptotically sharp dimension estimates for k-porous sets

• Autores: E. Jarvenpaa, M. Jarvenpaa
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 97, Nº 2, 2005, págs. 309-318
• Idioma: inglés
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• Resumen

  • In Rn, we establish an asymptotically sharp upper bound for the upper Minkowski dimension of k-porous sets having holes of certain size near every point in k orthogonal directions at all small scales. This bound tends to n−k as k-porosity tends to its maximum value.